{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# centered_eight example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pathlib\n",
    "import arviz as az\n",
    "import pymc as pm\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "draws = 500\n",
    "chains = 4\n",
    "\n",
    "J = 8\n",
    "scores = np.array([28.0, 8.0, -3.0, 7.0, -1.0, 1.0, 18.0, 12.0])\n",
    "sigma = np.array([15.0, 10.0, 16.0, 11.0, 9.0, 11.0, 10.0, 18.0])\n",
    "schools = np.array(\n",
    "    [\n",
    "        \"Choate\",\n",
    "        \"Deerfield\",\n",
    "        \"Phillips Andover\",\n",
    "        \"Phillips Exeter\",\n",
    "        \"Hotchkiss\",\n",
    "        \"Lawrenceville\",\n",
    "        \"St. Paul's\",\n",
    "        \"Mt. Hermon\",\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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      "Sampling: [mu, obs, tau, theta]\n",
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [mu, tau, theta]\n"
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     "text": [
      "Sampling 4 chains for 1_000 tune and 500 draw iterations (4_000 + 2_000 draws total) took 7 seconds.\n",
      "There were 9 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "There were 15 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "There were 8 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "There were 16 divergences after tuning. Increase `target_accept` or reparameterize.\n",
      "The acceptance probability does not match the target. It is 0.5675, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "Sampling: [obs]\n"
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 4, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0 1 2 3\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    mu       (chain, draw) float64 7.872 3.385 9.1 7.304 ... 1.767 3.486 3.404\n",
       "    theta    (chain, draw, school) float64 12.32 9.905 14.95 ... 6.762 1.295\n",
       "    tau      (chain, draw) float64 4.726 3.909 4.844 1.857 ... 2.741 2.932 4.461\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:37.315398\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2\n",
       "    sampling_time:              7.480114936828613\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-508805a9-3fdd-4b56-b421-76ebb1431c99' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-508805a9-3fdd-4b56-b421-76ebb1431c99' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-5ac46928-11c7-4a22-9569-7042019b2666' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5ac46928-11c7-4a22-9569-7042019b2666' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-dc4d5fda-f120-430b-bdf0-35878e09c2a3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-dc4d5fda-f120-430b-bdf0-35878e09c2a3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ece9f47d-cf4c-4ed1-9c8c-fe1f0da9d6da' class='xr-var-data-in' type='checkbox'><label for='data-ece9f47d-cf4c-4ed1-9c8c-fe1f0da9d6da' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-f176b32d-fdca-46b6-bb81-8617b1bed7a5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f176b32d-fdca-46b6-bb81-8617b1bed7a5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-83534029-333c-4f9d-b016-05fd01485176' class='xr-var-data-in' type='checkbox'><label for='data-83534029-333c-4f9d-b016-05fd01485176' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([  0,   1,   2, ..., 497, 498, 499])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-bf161276-edea-44bd-8e86-f97de97b9a9b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bf161276-edea-44bd-8e86-f97de97b9a9b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2d258f99-ff40-430a-9b76-8dd70ee2b306' class='xr-var-data-in' type='checkbox'><label for='data-2d258f99-ff40-430a-9b76-8dd70ee2b306' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d9c3a0ac-076f-4ca4-a88b-c3bd0be748fe' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d9c3a0ac-076f-4ca4-a88b-c3bd0be748fe' class='xr-section-summary' >Data variables: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>mu</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>7.872 3.385 9.1 ... 3.486 3.404</div><input id='attrs-56d3d76d-91f4-4be7-8006-49f9bdb7f5e0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-56d3d76d-91f4-4be7-8006-49f9bdb7f5e0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-71add58c-37d9-4c5d-8283-39c4498d797d' class='xr-var-data-in' type='checkbox'><label for='data-71add58c-37d9-4c5d-8283-39c4498d797d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[7.87179637, 3.38455431, 9.10047569, ..., 3.65680422, 5.42727938,\n",
       "        2.73588293],\n",
       "       [4.31581657, 4.59770112, 6.21376164, ..., 4.84102392, 5.94610513,\n",
       "        4.66643827],\n",
       "       [4.52760336, 5.86262758, 5.91070276, ..., 2.87106698, 4.09553646,\n",
       "        1.77571755],\n",
       "       [7.17950438, 6.53969896, 7.48361981, ..., 1.76673325, 3.48611194,\n",
       "        3.40446391]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>theta</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>12.32 9.905 14.95 ... 6.762 1.295</div><input id='attrs-6d050831-95c4-485c-86c8-a7c79634c73c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6d050831-95c4-485c-86c8-a7c79634c73c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1cf23575-5db8-4162-b42d-e808e7ce093c' class='xr-var-data-in' type='checkbox'><label for='data-1cf23575-5db8-4162-b42d-e808e7ce093c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[12.32068558,  9.90536689, 14.9516155 , ..., 16.90179529,\n",
       "         13.19805933, 15.06136584],\n",
       "        [11.28562322,  9.12932369,  3.13926327, ...,  2.39308809,\n",
       "         10.05522282,  6.17672421],\n",
       "        [ 5.70850575,  5.7579324 , 10.94458539, ...,  8.14332707,\n",
       "          7.60475341,  8.76764689],\n",
       "        ...,\n",
       "        [-0.21382811,  1.35515489,  6.98268796, ...,  6.96589044,\n",
       "          4.93020022,  3.05860034],\n",
       "        [10.40250133,  6.90740688, -4.96413775, ..., -2.83504069,\n",
       "          5.3910607 ,  6.38123908],\n",
       "        [ 6.66130764,  7.41376703, -9.32260183, ..., -4.25487418,\n",
       "          7.56657019,  9.98761823]],\n",
       "\n",
       "       [[ 5.59663866,  6.95960523,  3.2412923 , ...,  5.5731038 ,\n",
       "          7.14885429,  3.79090016],\n",
       "        [ 4.96540992,  1.77935809,  6.82078866, ...,  4.63345858,\n",
       "          3.28916128,  5.93731077],\n",
       "        [ 5.89670043,  9.47253003,  5.29354995, ...,  5.65256064,\n",
       "          3.30221324,  7.16213323],\n",
       "...\n",
       "        [ 4.71860289,  6.3386488 ,  7.67278512, ...,  1.85496043,\n",
       "          7.29157333, -0.10026455],\n",
       "        [ 5.67765139,  1.67910823,  2.97637036, ...,  1.61054881,\n",
       "          1.28061498,  7.62765755],\n",
       "        [ 1.62544668,  2.50328085,  0.77298319, ...,  1.47752619,\n",
       "          2.36275624, -2.96799418]],\n",
       "\n",
       "       [[ 8.34450834,  5.39085524,  4.71615276, ...,  7.87559218,\n",
       "         12.46813994, 12.60779651],\n",
       "        [ 8.93115045,  6.85296853, 10.07129962, ...,  0.11111666,\n",
       "          7.01397138,  5.13629724],\n",
       "        [ 9.62317435,  5.10464403,  4.99209455, ..., 11.45121967,\n",
       "          9.45569534,  8.85937825],\n",
       "        ...,\n",
       "        [ 3.53251469,  2.00890089,  0.51080602, ...,  4.70724881,\n",
       "          3.07331446, -2.62306892],\n",
       "        [ 4.1827505 ,  7.55425055,  4.45603444, ...,  1.5289581 ,\n",
       "          1.09609826,  8.45228161],\n",
       "        [ 0.19295578,  6.4984278 , -0.89442402, ...,  7.93646013,\n",
       "          6.76245459,  1.2950506 ]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tau</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.726 3.909 4.844 ... 2.932 4.461</div><input id='attrs-63d87e2b-bb43-4d6a-80a2-f1754f19f12b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-63d87e2b-bb43-4d6a-80a2-f1754f19f12b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e94953b7-89d6-4d32-9966-e52414457d4a' class='xr-var-data-in' type='checkbox'><label for='data-e94953b7-89d6-4d32-9966-e52414457d4a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[4.72574006, 3.90899361, 4.8440252 , ..., 1.89383828, 5.92006245,\n",
       "        4.32589567],\n",
       "       [1.97083011, 2.04902913, 2.12376496, ..., 2.17459002, 1.32755081,\n",
       "        1.21199466],\n",
       "       [3.50127689, 2.89324317, 4.27328591, ..., 4.08978031, 2.72016996,\n",
       "        1.91701121],\n",
       "       [6.07325982, 3.77186702, 3.17053747, ..., 2.74060666, 2.93237926,\n",
       "        4.46124596]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-fbaa3577-7fe0-42fe-b403-426f39b4f321' class='xr-section-summary-in' type='checkbox'  checked><label for='section-fbaa3577-7fe0-42fe-b403-426f39b4f321' class='xr-section-summary' >Attributes: <span>(6)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:37.315398</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd><dt><span>sampling_time :</span></dt><dd>7.480114936828613</dd><dt><span>tuning_steps :</span></dt><dd>1000</dd></dl></div></li></ul></div></div><br></div>\n",
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       "\n",
       ".xr-array-preview,\n",
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       "\n",
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       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
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       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
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       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
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       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
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       "\n",
       ".xr-has-index {\n",
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       "\n",
       ".xr-var-list,\n",
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       ".xr-var-item > .xr-var-name span {\n",
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       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
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       "\n",
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       "\n",
       ".xr-var-dims {\n",
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       "\n",
       ".xr-var-dtype {\n",
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       ".xr-var-preview {\n",
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       "\n",
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       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
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       ".xr-var-attrs,\n",
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       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
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       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
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       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
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       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
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       "  display: grid;\n",
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       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
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       "  float: left;\n",
       "  padding-right: 10px;\n",
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       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
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       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
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       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 4, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0 1 2 3\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs      (chain, draw, school) float64 15.9 -1.73 27.99 ... 7.052 6.946\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:41.460544\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-e4ebfae7-92a4-4021-b916-367de583e092' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-e4ebfae7-92a4-4021-b916-367de583e092' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-61fbb4b4-5675-4ab1-886e-d77006da6974' class='xr-section-summary-in' type='checkbox'  checked><label for='section-61fbb4b4-5675-4ab1-886e-d77006da6974' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-ce9777a9-07e1-4231-8987-2c2639cde776' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ce9777a9-07e1-4231-8987-2c2639cde776' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b4b7f03b-5cc9-4b43-a4c3-543e13876dfa' class='xr-var-data-in' type='checkbox'><label for='data-b4b7f03b-5cc9-4b43-a4c3-543e13876dfa' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-e1689725-be3b-40fb-baa4-a8e7e9dbd51b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e1689725-be3b-40fb-baa4-a8e7e9dbd51b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-acd0642b-bdbc-466d-96f6-e0676040b925' class='xr-var-data-in' type='checkbox'><label for='data-acd0642b-bdbc-466d-96f6-e0676040b925' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([  0,   1,   2, ..., 497, 498, 499])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-d8b63219-5e84-43ac-89d7-71c0607ff37e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d8b63219-5e84-43ac-89d7-71c0607ff37e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-125a8ec3-684e-4b43-a34c-cc7ebe1df215' class='xr-var-data-in' type='checkbox'><label for='data-125a8ec3-684e-4b43-a34c-cc7ebe1df215' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d2703c88-cd1a-4f05-bfb3-be36fb3cc0a1' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d2703c88-cd1a-4f05-bfb3-be36fb3cc0a1' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>obs</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>15.9 -1.73 27.99 ... 7.052 6.946</div><input id='attrs-3c9a9e03-f6db-45fc-82ef-50498961d773' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3c9a9e03-f6db-45fc-82ef-50498961d773' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6b6e740e-e42c-4d51-a9ac-3db6ba6a0a91' class='xr-var-data-in' type='checkbox'><label for='data-6b6e740e-e42c-4d51-a9ac-3db6ba6a0a91' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 15.90231042,  -1.73002444,  27.99423751, ...,   3.19462291,\n",
       "          32.14540969, -11.8812059 ],\n",
       "        [ 33.69767577,  28.1958942 ,   8.19918249, ...,  -0.3313855 ,\n",
       "          10.97876902,  22.21381514],\n",
       "        [  3.63633339,   2.10039927, -11.95789817, ...,  26.11818619,\n",
       "          12.04668099,   2.66806219],\n",
       "        ...,\n",
       "        [ 16.47894674,   4.21595388,   3.45204563, ...,  -1.41473438,\n",
       "           2.02901496,   8.57336383],\n",
       "        [  6.7405624 ,   4.42576989, -23.02355006, ...,  -8.94559362,\n",
       "         -15.51050952,  13.27050897],\n",
       "        [  8.584276  ,   0.60718559,  -3.28570018, ...,   5.83506191,\n",
       "           9.85972863,   0.51889583]],\n",
       "\n",
       "       [[  7.97225338,   4.36076765,  15.51962794, ...,   5.10500182,\n",
       "          19.94626533,  11.74416904],\n",
       "        [  0.72088198,  -8.87717206, -18.35055846, ...,   0.31792912,\n",
       "           5.14292676,  13.26485697],\n",
       "        [ 11.54737878,  -2.03204019, -17.21329062, ...,  26.65267829,\n",
       "           7.00581175,   5.1802508 ],\n",
       "...\n",
       "        [ 41.56725607,  12.7131772 ,  17.67482356, ...,  13.37430464,\n",
       "           7.34827573, -30.1648015 ],\n",
       "        [ 20.19739947,  12.59113302,  22.19240206, ...,   0.27321124,\n",
       "         -29.62855394,  38.50812895],\n",
       "        [ 26.58770639,   4.53755139, -18.3969311 , ..., -18.1670488 ,\n",
       "           1.28768663,  11.84447202]],\n",
       "\n",
       "       [[ 26.19409354,  16.18726029,   0.10268609, ...,  11.0300197 ,\n",
       "          25.40306217,  53.5125337 ],\n",
       "        [ -8.45386449,   1.98225666,   8.88816559, ...,   6.14525431,\n",
       "           5.33519614,  33.67134175],\n",
       "        [ 12.10885212,   7.0427061 ,  -8.05151727, ...,  15.83287994,\n",
       "           9.53852012, -15.76876091],\n",
       "        ...,\n",
       "        [  5.16835475, -11.49139247,  24.48816931, ...,  -3.97161927,\n",
       "          -5.01261413,  -0.20091024],\n",
       "        [ 34.73435781,  21.85058557, -41.05446624, ...,   3.8014283 ,\n",
       "          -3.88381285,  33.78199157],\n",
       "        [  8.88178931,   4.10591985, -30.77132856, ..., -10.02279196,\n",
       "           7.05220567,   6.94624846]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3aa11d80-e3c4-4c10-9373-4f4fc1feb8b2' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3aa11d80-e3c4-4c10-9373-4f4fc1feb8b2' class='xr-section-summary' >Attributes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:41.460544</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd></dl></div></li></ul></div></div><br></div>\n",
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       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 4, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0 1 2 3\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs      (chain, draw, school) float64 -4.173 -3.24 -4.321 ... -3.853 -3.986\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:37.487399\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-2432cf57-93a9-4286-b1ed-841efb3024b3' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-2432cf57-93a9-4286-b1ed-841efb3024b3' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-bd9cbd05-0e5a-4608-aaf4-25016e015625' class='xr-section-summary-in' type='checkbox'  checked><label for='section-bd9cbd05-0e5a-4608-aaf4-25016e015625' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-d2290744-b53f-4e1d-9c2d-b1daf75e978f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d2290744-b53f-4e1d-9c2d-b1daf75e978f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-514ff32f-b2d3-406c-953e-8d6dbdd12a3b' class='xr-var-data-in' type='checkbox'><label for='data-514ff32f-b2d3-406c-953e-8d6dbdd12a3b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-94e3a8d8-effb-4cfd-8651-ab585446d539' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-94e3a8d8-effb-4cfd-8651-ab585446d539' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-21e28916-1896-4368-bfdc-363a528fdd2a' class='xr-var-data-in' type='checkbox'><label for='data-21e28916-1896-4368-bfdc-363a528fdd2a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([  0,   1,   2, ..., 497, 498, 499])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-bef5ac7d-d4ca-4404-887e-c4759af604da' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bef5ac7d-d4ca-4404-887e-c4759af604da' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-30766bdf-f419-47d2-ba50-37051fdfa61f' class='xr-var-data-in' type='checkbox'><label for='data-30766bdf-f419-47d2-ba50-37051fdfa61f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3791bb00-c12d-4c86-9ae1-8b1426917323' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3791bb00-c12d-4c86-9ae1-8b1426917323' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>obs</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-4.173 -3.24 ... -3.853 -3.986</div><input id='attrs-f1e9ed25-aafb-43a4-865d-411dcdf5c285' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f1e9ed25-aafb-43a4-865d-411dcdf5c285' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-45e33b77-e58b-464f-83c8-e56cae183dcf' class='xr-var-data-in' type='checkbox'><label for='data-45e33b77-e58b-464f-83c8-e56cae183dcf' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[-4.17330185, -3.23967574, -4.32094229, ..., -4.36173915,\n",
       "         -3.3368168 , -3.82377319],\n",
       "        [-4.24781183, -3.22790049, -3.76514162, ..., -3.3248532 ,\n",
       "         -3.53712105, -3.86164137],\n",
       "        [-4.73123477, -3.24665796, -4.07131527, ..., -3.52768968,\n",
       "         -3.76182938, -3.82543391],\n",
       "        ...,\n",
       "        [-5.39592228, -3.44229346, -3.88616409, ..., -3.46390756,\n",
       "         -4.07562196, -3.9326878 ],\n",
       "        [-4.31514864, -3.22749242, -3.69906209, ..., -3.37760875,\n",
       "         -4.01645038, -3.85803016],\n",
       "        [-4.63885494, -3.22324197, -3.769604  , ..., -3.43094002,\n",
       "         -3.76580591, -3.8155598 ]],\n",
       "\n",
       "       [[-4.74234562, -3.22693573, -3.76760876, ..., -3.40325231,\n",
       "         -3.81026044, -3.91330616],\n",
       "        [-4.80608282, -3.41500555, -3.87990204, ..., -3.37138761,\n",
       "         -4.30356751, -3.86603282],\n",
       "        [-4.7126684 , -3.23236535, -3.825869  , ..., -3.40628141,\n",
       "         -4.3016483 , -3.84542905],\n",
       "...\n",
       "        [-4.83148529, -3.23532407, -3.91400449, ..., -3.31985429,\n",
       "         -3.79487564, -4.03526153],\n",
       "        [-4.73429373, -3.42129199, -3.76128703, ..., -3.31837418,\n",
       "         -4.6192128 , -3.83881242],\n",
       "        [-5.17280443, -3.37259323, -3.71933078, ..., -3.31777608,\n",
       "         -4.44414059, -4.15505234]],\n",
       "\n",
       "       [[-4.48551841, -3.25556181, -3.80781439, ..., -3.51217995,\n",
       "         -3.374531  , -3.80988038],\n",
       "        [-4.43503545, -3.22810203, -4.02523599, ..., -3.32009874,\n",
       "         -3.82498775, -3.88201155],\n",
       "        [-4.37745034, -3.26343906, -3.81628033, ..., -3.76818915,\n",
       "         -3.58654934, -3.82453175],\n",
       "        ...,\n",
       "        [-4.95733948, -3.40098997, -3.715601  , ..., -3.37362593,\n",
       "         -4.33555333, -4.13930125],\n",
       "        [-4.88756956, -3.22251709, -3.80010626, ..., -3.31798999,\n",
       "         -4.6502331 , -3.8287336 ],\n",
       "        [-5.34528142, -3.23279722, -3.70018634, ..., -3.51565397,\n",
       "         -3.85293576, -3.98615588]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-203ea4c3-812a-4f58-896b-81e112520aed' class='xr-section-summary-in' type='checkbox'  checked><label for='section-203ea4c3-812a-4f58-896b-81e112520aed' class='xr-section-summary' >Attributes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:37.487399</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_sample_statsa0ccd32e-78f4-48c7-b30a-246d9410cfab\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_sample_statsa0ccd32e-78f4-48c7-b30a-246d9410cfab\" class = \"xr-section-summary\">sample_stats</label>\n",
       "                  <div class=\"xr-section-inline-details\"></div>\n",
       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
       "                          <div style=\"padding-left:2rem;\"><div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
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       "\n",
       ".xr-attrs dt {\n",
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       "\n",
       ".xr-attrs dd {\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:              (chain: 4, draw: 500)\n",
       "Coordinates:\n",
       "  * chain                (chain) int64 0 1 2 3\n",
       "  * draw                 (draw) int64 0 1 2 3 4 5 6 ... 494 495 496 497 498 499\n",
       "Data variables: (12/16)\n",
       "    max_energy_error     (chain, draw) float64 -0.645 0.1782 ... 0.7405 -0.5795\n",
       "    energy_error         (chain, draw) float64 0.001383 0.1622 ... 0.07346\n",
       "    lp                   (chain, draw) float64 -60.33 -57.8 ... -53.5 -55.58\n",
       "    index_in_trajectory  (chain, draw) int64 -17 -12 -6 4 6 3 ... -6 5 -5 4 3 6\n",
       "    acceptance_rate      (chain, draw) float64 0.9942 0.9635 ... 0.7359 0.8777\n",
       "    diverging            (chain, draw) bool False False False ... False False\n",
       "    ...                   ...\n",
       "    smallest_eigval      (chain, draw) float64 nan nan nan nan ... nan nan nan\n",
       "    step_size_bar        (chain, draw) float64 0.2573 0.2573 ... 0.2685 0.2685\n",
       "    step_size            (chain, draw) float64 0.4435 0.4435 ... 0.2938 0.2938\n",
       "    energy               (chain, draw) float64 69.12 63.2 63.15 ... 61.2 60.12\n",
       "    tree_depth           (chain, draw) int64 5 4 5 3 4 4 4 4 ... 4 4 4 4 3 3 3 3\n",
       "    perf_counter_diff    (chain, draw) float64 0.005272 0.002766 ... 0.001373\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:37.324929\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2\n",
       "    sampling_time:              7.480114936828613\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-a8f02f44-27cb-45d9-aa2a-8d4937d32534' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-a8f02f44-27cb-45d9-aa2a-8d4937d32534' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-caa9fc84-cd73-4756-93db-d7e02de903f7' class='xr-section-summary-in' type='checkbox'  checked><label for='section-caa9fc84-cd73-4756-93db-d7e02de903f7' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-3e35ea8a-302b-493f-9105-c4b46193cbe9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3e35ea8a-302b-493f-9105-c4b46193cbe9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b39f6ced-53d3-430d-b736-de302ca98c13' class='xr-var-data-in' type='checkbox'><label for='data-b39f6ced-53d3-430d-b736-de302ca98c13' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-4a2a5ab8-a0d8-4806-9ef7-7667cb52b4f1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4a2a5ab8-a0d8-4806-9ef7-7667cb52b4f1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-35dbfeac-d759-4e42-9946-5eea80293bc4' class='xr-var-data-in' type='checkbox'><label for='data-35dbfeac-d759-4e42-9946-5eea80293bc4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([  0,   1,   2, ..., 497, 498, 499])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-fb1c4bf7-fa92-47aa-8a36-0b731e9f5c0d' class='xr-section-summary-in' type='checkbox'  ><label for='section-fb1c4bf7-fa92-47aa-8a36-0b731e9f5c0d' class='xr-section-summary' >Data variables: <span>(16)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>max_energy_error</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.645 0.1782 ... 0.7405 -0.5795</div><input id='attrs-947197f1-0cd0-4be8-a9c0-de0c4818c3eb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-947197f1-0cd0-4be8-a9c0-de0c4818c3eb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-426b0336-90b0-4974-9d4e-92dc4cefa119' class='xr-var-data-in' type='checkbox'><label for='data-426b0336-90b0-4974-9d4e-92dc4cefa119' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ -0.64504409,   0.17819377,   1.02451636, ...,  -0.24790584,\n",
       "          2.68089913,   0.19766772],\n",
       "       [  9.65932681,   0.41296719,   0.54862321, ...,   1.85323653,\n",
       "          3.82847279,   3.14554602],\n",
       "       [  0.35761351,  -0.58691313, 164.28351256, ...,   0.53829943,\n",
       "         -0.33156701,  -0.52508737],\n",
       "       [  0.58851927,  -0.1981699 ,  -0.16874752, ...,  -0.43315608,\n",
       "          0.74050164,  -0.57953742]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>energy_error</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.001383 0.1622 ... -0.1106 0.07346</div><input id='attrs-e3d8e538-9fc6-4864-9ad4-8c77955f1eb1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e3d8e538-9fc6-4864-9ad4-8c77955f1eb1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d3eef4d9-b57f-4457-bbcb-bb5c8a3bb4fc' class='xr-var-data-in' type='checkbox'><label for='data-d3eef4d9-b57f-4457-bbcb-bb5c8a3bb4fc' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ 1.38256860e-03,  1.62244239e-01,  4.17124541e-01, ...,\n",
       "         5.88829177e-02,  2.28785729e+00,  1.27111064e-01],\n",
       "       [ 0.00000000e+00,  4.33499366e-02,  5.48623215e-01, ...,\n",
       "         8.55675888e-01, -1.63462009e+00, -1.17673904e+00],\n",
       "       [ 2.06642341e-01, -3.76895788e-01,  4.50562259e-02, ...,\n",
       "         2.71207274e-01, -6.84928750e-02, -5.25087372e-01],\n",
       "       [-2.20233495e-01, -1.98169897e-01, -2.22010430e-02, ...,\n",
       "        -3.15741301e-01, -1.10618896e-01,  7.34648383e-02]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>lp</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-60.33 -57.8 ... -53.5 -55.58</div><input id='attrs-9f80c68b-7095-46bf-b4a2-10d0f204cdca' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9f80c68b-7095-46bf-b4a2-10d0f204cdca' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ea74a200-d5c7-4800-bba7-d301fde45383' class='xr-var-data-in' type='checkbox'><label for='data-ea74a200-d5c7-4800-bba7-d301fde45383' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[-60.32696164, -57.79756266, -56.51274086, ..., -54.2934871 ,\n",
       "        -58.6744315 , -60.55301961],\n",
       "       [-49.4581316 , -50.55823504, -52.4508671 , ..., -49.7282856 ,\n",
       "        -49.88460256, -47.20396718],\n",
       "       [-57.11636673, -53.59614785, -54.09735045, ..., -54.38382438,\n",
       "        -54.28264196, -51.61787475],\n",
       "       [-60.33564654, -57.36763105, -57.15189783, ..., -52.31637305,\n",
       "        -53.49870787, -55.57584413]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>index_in_trajectory</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>-17 -12 -6 4 6 3 ... -6 5 -5 4 3 6</div><input id='attrs-593541a1-c48b-4785-a5b8-e0a2236d68f6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-593541a1-c48b-4785-a5b8-e0a2236d68f6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-925c4cdd-5366-4b86-8078-41dca6d4494f' class='xr-var-data-in' type='checkbox'><label for='data-925c4cdd-5366-4b86-8078-41dca6d4494f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[-17, -12,  -6, ...,  -5,   6,   2],\n",
       "       [  0,  -4,  -5, ...,  -2,   3,   2],\n",
       "       [  3,   6,   3, ...,   5,   6,   4],\n",
       "       [  6,  11,  -6, ...,   4,   3,   6]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>acceptance_rate</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.9942 0.9635 ... 0.7359 0.8777</div><input id='attrs-f606e486-962f-4d05-a52c-3c59e048c82c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f606e486-962f-4d05-a52c-3c59e048c82c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8ce7a514-0782-4af7-8697-48a4fd95fbfe' class='xr-var-data-in' type='checkbox'><label for='data-8ce7a514-0782-4af7-8697-48a4fd95fbfe' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[9.94235223e-01, 9.63502461e-01, 6.75414571e-01, ...,\n",
       "        9.91831021e-01, 1.22976367e-01, 9.13399927e-01],\n",
       "       [3.67775218e-04, 7.92207363e-01, 8.33661982e-01, ...,\n",
       "        3.58611683e-01, 8.41825537e-01, 8.92181929e-01],\n",
       "       [8.40896612e-01, 9.94643520e-01, 7.07705452e-01, ...,\n",
       "        8.28123371e-01, 9.52352662e-01, 9.92715924e-01],\n",
       "       [8.79348409e-01, 9.94801408e-01, 1.00000000e+00, ...,\n",
       "        9.98383862e-01, 7.35871925e-01, 8.77663355e-01]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>diverging</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>False False False ... False False</div><input id='attrs-a0946fc8-54a5-4901-807c-a8ead46578e3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a0946fc8-54a5-4901-807c-a8ead46578e3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b4a3ac4e-97c6-47bd-9606-ed2bbfa4e2ea' class='xr-var-data-in' type='checkbox'><label for='data-b4a3ac4e-97c6-47bd-9606-ed2bbfa4e2ea' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>process_time_diff</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.005273 0.002766 ... 0.001373</div><input id='attrs-4e617aee-c690-4d49-a206-9ae6b42739c1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4e617aee-c690-4d49-a206-9ae6b42739c1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c28baa50-508d-40ba-9c57-c30464c01d60' class='xr-var-data-in' type='checkbox'><label for='data-c28baa50-508d-40ba-9c57-c30464c01d60' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[0.00527252, 0.00276631, 0.00842511, ..., 0.00138628, 0.00140702,\n",
       "        0.00285469],\n",
       "       [0.00070994, 0.00135272, 0.00137654, ..., 0.00136999, 0.00390633,\n",
       "        0.00200556],\n",
       "       [0.00141739, 0.00280188, 0.00280552, ..., 0.00144717, 0.0014462 ,\n",
       "        0.00137123],\n",
       "       [0.00268   , 0.00301765, 0.00228357, ..., 0.001398  , 0.00137918,\n",
       "        0.00137318]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>n_steps</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>31.0 15.0 31.0 7.0 ... 7.0 7.0 7.0</div><input id='attrs-54a15417-d68e-4f45-a721-77968a661fb1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-54a15417-d68e-4f45-a721-77968a661fb1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1cb39fd1-a9f2-475d-8ee1-a7ed3d7a2b9a' class='xr-var-data-in' type='checkbox'><label for='data-1cb39fd1-a9f2-475d-8ee1-a7ed3d7a2b9a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[31., 15., 31., ...,  7.,  7., 15.],\n",
       "       [ 3.,  7.,  7., ...,  7., 23., 11.],\n",
       "       [ 7., 15., 15., ...,  7.,  7.,  7.],\n",
       "       [15., 15.,  7., ...,  7.,  7.,  7.]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>perf_counter_start</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>6.648e+03 6.648e+03 ... 6.649e+03</div><input id='attrs-cfcd4c04-ca63-4358-9763-b784bd6bbea3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cfcd4c04-ca63-4358-9763-b784bd6bbea3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0c7a08b0-943b-4c17-b935-8e683eef6814' class='xr-var-data-in' type='checkbox'><label for='data-0c7a08b0-943b-4c17-b935-8e683eef6814' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[6648.48641069, 6648.49188136, 6648.49484127, ..., 6650.03423128,\n",
       "        6650.03584027, 6650.0375068 ],\n",
       "       [6648.36581069, 6648.36670231, 6648.36823819, ..., 6649.81514596,\n",
       "        6649.816695  , 6649.82078238],\n",
       "       [6650.03240726, 6650.03406211, 6650.03709809, ..., 6651.3249067 ,\n",
       "        6651.32653782, 6651.32816342],\n",
       "       [6648.16351965, 6648.16640699, 6648.16964661, ..., 6649.48800026,\n",
       "        6649.48958135, 6649.49114142]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>largest_eigval</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan nan nan ... nan nan nan nan</div><input id='attrs-33bf153f-94cf-4ade-b337-9863d58456ec' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-33bf153f-94cf-4ade-b337-9863d58456ec' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-91085419-91fa-44e9-807e-3e7bf20949ca' class='xr-var-data-in' type='checkbox'><label for='data-91085419-91fa-44e9-807e-3e7bf20949ca' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>smallest_eigval</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan nan nan ... nan nan nan nan</div><input id='attrs-b3372035-af09-420b-a631-565ed2c40ce5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b3372035-af09-420b-a631-565ed2c40ce5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fab28aaa-f63c-4755-aece-14a97c735269' class='xr-var-data-in' type='checkbox'><label for='data-fab28aaa-f63c-4755-aece-14a97c735269' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>step_size_bar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.2573 0.2573 ... 0.2685 0.2685</div><input id='attrs-6d0d13a2-294f-414b-8463-705ef204f23c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6d0d13a2-294f-414b-8463-705ef204f23c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-03884c0e-ee18-4a0a-8741-e57d9a0d5b4c' class='xr-var-data-in' type='checkbox'><label for='data-03884c0e-ee18-4a0a-8741-e57d9a0d5b4c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[0.25725829, 0.25725829, 0.25725829, ..., 0.25725829, 0.25725829,\n",
       "        0.25725829],\n",
       "       [0.26427428, 0.26427428, 0.26427428, ..., 0.26427428, 0.26427428,\n",
       "        0.26427428],\n",
       "       [0.24786302, 0.24786302, 0.24786302, ..., 0.24786302, 0.24786302,\n",
       "        0.24786302],\n",
       "       [0.26851999, 0.26851999, 0.26851999, ..., 0.26851999, 0.26851999,\n",
       "        0.26851999]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>step_size</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.4435 0.4435 ... 0.2938 0.2938</div><input id='attrs-a9282636-6a26-45c7-9bf3-026ae351a15c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a9282636-6a26-45c7-9bf3-026ae351a15c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-57d3b6eb-f9ca-483e-a731-6ff97e2630ca' class='xr-var-data-in' type='checkbox'><label for='data-57d3b6eb-f9ca-483e-a731-6ff97e2630ca' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[0.44353297, 0.44353297, 0.44353297, ..., 0.44353297, 0.44353297,\n",
       "        0.44353297],\n",
       "       [0.178677  , 0.178677  , 0.178677  , ..., 0.178677  , 0.178677  ,\n",
       "        0.178677  ],\n",
       "       [0.27527526, 0.27527526, 0.27527526, ..., 0.27527526, 0.27527526,\n",
       "        0.27527526],\n",
       "       [0.29376121, 0.29376121, 0.29376121, ..., 0.29376121, 0.29376121,\n",
       "        0.29376121]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>energy</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>69.12 63.2 63.15 ... 61.2 60.12</div><input id='attrs-2fa4dd99-8248-49a8-a24b-a909743c96cd' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2fa4dd99-8248-49a8-a24b-a909743c96cd' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9121f7f2-1b62-4677-a4dc-f04a60686e0f' class='xr-var-data-in' type='checkbox'><label for='data-9121f7f2-1b62-4677-a4dc-f04a60686e0f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[69.11626325, 63.20246677, 63.15249071, ..., 56.9189486 ,\n",
       "        63.34581449, 67.28595111],\n",
       "       [56.01061577, 55.15067207, 55.91363421, ..., 54.3724391 ,\n",
       "        55.36569624, 51.19902914],\n",
       "       [60.04699013, 58.24958346, 56.19959169, ..., 60.63010835,\n",
       "        58.36906049, 56.47610973],\n",
       "       [66.03987545, 63.66165976, 60.19210336, ..., 58.25934464,\n",
       "        61.20379961, 60.11863358]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tree_depth</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>5 4 5 3 4 4 4 4 ... 4 4 4 4 3 3 3 3</div><input id='attrs-54e2ca2d-a83d-4cd9-8f6a-f746e8e25c99' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-54e2ca2d-a83d-4cd9-8f6a-f746e8e25c99' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1c5b0113-0b38-4a8e-8785-52fe6589fd1a' class='xr-var-data-in' type='checkbox'><label for='data-1c5b0113-0b38-4a8e-8785-52fe6589fd1a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[5, 4, 5, ..., 3, 3, 4],\n",
       "       [2, 3, 3, ..., 3, 5, 4],\n",
       "       [3, 4, 4, ..., 3, 3, 3],\n",
       "       [4, 4, 3, ..., 3, 3, 3]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>perf_counter_diff</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.005272 0.002766 ... 0.001373</div><input id='attrs-cb8e4f7f-3078-4d69-8920-0e28e162dcd5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cb8e4f7f-3078-4d69-8920-0e28e162dcd5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bfcfa2e2-7aa0-4d57-be25-5aaf860ebd96' class='xr-var-data-in' type='checkbox'><label for='data-bfcfa2e2-7aa0-4d57-be25-5aaf860ebd96' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[0.00527234, 0.00276631, 0.00842365, ..., 0.00138601, 0.00140668,\n",
       "        0.00285434],\n",
       "       [0.00070973, 0.00135248, 0.00137623, ..., 0.00136977, 0.00390611,\n",
       "        0.00200533],\n",
       "       [0.00142459, 0.00280113, 0.00280464, ..., 0.00144693, 0.00144595,\n",
       "        0.00137103],\n",
       "       [0.00267975, 0.00301715, 0.00228288, ..., 0.00139772, 0.00137889,\n",
       "        0.00137286]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-bf77ee7d-81c5-474d-a99f-96011da81b87' class='xr-section-summary-in' type='checkbox'  checked><label for='section-bf77ee7d-81c5-474d-a99f-96011da81b87' class='xr-section-summary' >Attributes: <span>(6)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:37.324929</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd><dt><span>sampling_time :</span></dt><dd>7.480114936828613</dd><dt><span>tuning_steps :</span></dt><dd>1000</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
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       "\n",
       ".xr-attrs,\n",
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       ".xr-var-data {\n",
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       "\n",
       "dl.xr-attrs {\n",
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       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
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       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
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       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
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       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
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       "  height: 1.5em !important;\n",
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       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 1, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    tau      (chain, draw) float64 1.941 3.388 4.208 ... 0.8353 0.06893 2.145\n",
       "    theta    (chain, draw, school) float64 4.866 4.59 -0.7404 ... -2.031 6.045\n",
       "    mu       (chain, draw) float64 3.903 3.915 -1.751 ... -2.294 0.7908 2.869\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:26.602116\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-e41fc17f-031e-4ebb-be78-b6310e1f95a6' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-e41fc17f-031e-4ebb-be78-b6310e1f95a6' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 1</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-53c6f476-e6b3-4c27-8978-13d2467e342e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-53c6f476-e6b3-4c27-8978-13d2467e342e' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0</div><input id='attrs-c0c00626-ec12-4116-ada6-7d1a56418afb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c0c00626-ec12-4116-ada6-7d1a56418afb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-07acc244-3de4-4d30-bf89-abe921c6afab' class='xr-var-data-in' type='checkbox'><label for='data-07acc244-3de4-4d30-bf89-abe921c6afab' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-3c33d978-ed8a-4992-a04a-918107d9b2cc' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3c33d978-ed8a-4992-a04a-918107d9b2cc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0712a7d8-01a8-4080-a167-4f78350fd1b2' class='xr-var-data-in' type='checkbox'><label for='data-0712a7d8-01a8-4080-a167-4f78350fd1b2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([  0,   1,   2, ..., 497, 498, 499])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-62b73b91-e245-41cf-8b37-ea233ba5068c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-62b73b91-e245-41cf-8b37-ea233ba5068c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8102d122-c560-4de7-8612-7ab018ae9541' class='xr-var-data-in' type='checkbox'><label for='data-8102d122-c560-4de7-8612-7ab018ae9541' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-2c26f1c5-fb3d-48a1-9ff0-9b52fdfa9ebb' class='xr-section-summary-in' type='checkbox'  checked><label for='section-2c26f1c5-fb3d-48a1-9ff0-9b52fdfa9ebb' class='xr-section-summary' >Data variables: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>tau</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.941 3.388 4.208 ... 0.06893 2.145</div><input id='attrs-d1444c23-ade9-46cc-b6b1-ad96999caaaf' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d1444c23-ade9-46cc-b6b1-ad96999caaaf' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dab4d36e-ec82-424b-99ef-3b59e0068073' class='xr-var-data-in' type='checkbox'><label for='data-dab4d36e-ec82-424b-99ef-3b59e0068073' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[1.94060202e+00, 3.38786056e+00, 4.20819481e+00, 5.68742111e+00,\n",
       "        4.82244460e+00, 7.84969782e+00, 2.41850082e+00, 1.11683428e+00,\n",
       "        5.10984626e-01, 1.67640274e+00, 8.37550751e+00, 3.55750200e+01,\n",
       "        1.87888479e+01, 7.38007966e+01, 7.19904857e+00, 2.97111678e+00,\n",
       "        2.38009906e+00, 8.61688371e-01, 1.82005508e+00, 7.05099843e-01,\n",
       "        3.73935694e+00, 8.73489254e+00, 1.39668221e+00, 2.17078500e+01,\n",
       "        9.59674138e+00, 3.15703268e+00, 3.33847615e+00, 3.51144898e+01,\n",
       "        6.80634203e+00, 4.11871168e+00, 4.93255227e+00, 4.83826812e+00,\n",
       "        2.72760625e+01, 5.24910941e+00, 2.85667668e+00, 4.28176247e+00,\n",
       "        2.28124585e+01, 1.34945279e+01, 9.68820812e+00, 1.07728226e+01,\n",
       "        1.20481030e+02, 3.31906378e-01, 4.63523234e-01, 1.26739022e+00,\n",
       "        2.51130780e+03, 5.07713155e+00, 9.28824918e-01, 9.14991935e+00,\n",
       "        4.66414362e+01, 8.84758086e+01, 3.00341165e-01, 7.30464820e-01,\n",
       "        3.40976947e+01, 2.99629266e+01, 2.26765592e+00, 1.78358355e+01,\n",
       "        3.30808448e+01, 3.88184972e+00, 8.84199075e-01, 1.51343747e+01,\n",
       "        2.65672354e+00, 1.31077618e+00, 2.25382327e+01, 1.22813964e+02,\n",
       "        7.85565515e+00, 7.41863308e-01, 9.49848204e+00, 1.41059847e+02,\n",
       "        9.25655368e-01, 1.78766382e+00, 2.62553715e+00, 8.58588175e-01,\n",
       "        1.74600321e+01, 4.62398480e+00, 1.01280222e+00, 5.74512287e+00,\n",
       "        1.26181092e+01, 4.56117182e+00, 1.03129481e+01, 1.05807520e+02,\n",
       "...\n",
       "        4.44939392e+00, 6.07065997e+01, 3.09150476e+00, 1.07895462e+00,\n",
       "        3.40577271e+01, 8.87566932e+03, 5.14275783e-01, 2.34873432e+00,\n",
       "        4.28166200e+00, 6.11436072e+00, 7.02201974e+00, 9.11145054e-02,\n",
       "        5.06762347e+00, 5.54001194e+00, 1.65166669e+00, 4.62314520e+00,\n",
       "        2.79342562e+01, 8.20769981e+00, 1.34952820e+01, 8.67771773e-01,\n",
       "        2.67941929e+00, 5.78094132e+00, 4.08853487e+01, 1.21540351e+01,\n",
       "        6.21499874e+00, 2.05937430e+01, 5.18603595e+00, 5.93430042e+00,\n",
       "        1.27090430e+01, 9.37798481e+00, 3.80986538e+00, 1.14897162e+03,\n",
       "        6.66454695e+01, 1.68318555e+01, 6.50185117e+01, 1.77443210e+00,\n",
       "        1.98821067e+01, 1.48732781e+00, 5.32400098e+01, 8.90298404e-01,\n",
       "        9.74456150e+00, 3.17898046e+00, 4.64437308e+00, 1.67900077e+00,\n",
       "        2.11625865e+00, 5.88562332e-01, 8.72761717e+00, 3.23788264e+01,\n",
       "        2.62725682e+00, 2.48389110e+00, 5.78998327e+00, 4.86828624e+00,\n",
       "        8.96244600e+00, 9.85486905e-01, 4.35475195e+00, 8.21724160e+00,\n",
       "        3.67358130e+00, 3.19700555e-01, 4.32539022e+00, 7.87027890e-01,\n",
       "        2.16835786e+00, 3.34426424e+00, 1.67688831e+01, 9.15246738e-01,\n",
       "        5.68705452e+00, 4.86622906e+00, 2.32790878e+00, 3.16238422e+01,\n",
       "        8.20289530e+00, 1.59128252e+03, 1.70394780e+00, 2.42565587e+00,\n",
       "        7.62767038e+00, 2.41576900e+01, 4.25452773e+01, 1.21193875e+00,\n",
       "        1.02716549e+01, 8.35319808e-01, 6.89347686e-02, 2.14488132e+00]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>theta</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>4.866 4.59 -0.7404 ... -2.031 6.045</div><input id='attrs-c7646a64-4b67-4a11-8b2d-93ea4dc99894' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c7646a64-4b67-4a11-8b2d-93ea4dc99894' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f4fdc1f8-4bd7-49e5-ad0b-19b8da36a848' class='xr-var-data-in' type='checkbox'><label for='data-f4fdc1f8-4bd7-49e5-ad0b-19b8da36a848' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 4.86620856,  4.58956728, -0.74044057, ...,  3.9610381 ,\n",
       "          2.65493249,  6.01863257],\n",
       "        [ 4.37914099,  5.96929909, -2.97367789, ..., 11.03055872,\n",
       "          5.05284821,  2.67610001],\n",
       "        [-1.19602373, -9.83468642,  2.28396607, ..., -1.73761977,\n",
       "          8.42950283,  2.36634401],\n",
       "        ...,\n",
       "        [-2.81086618, -3.98468829, -2.08099901, ..., -2.53012815,\n",
       "         -2.05930505, -3.19172734],\n",
       "        [ 0.81207434,  0.79427128,  0.83181532, ...,  0.79266084,\n",
       "          0.86104331,  0.7793056 ],\n",
       "        [ 3.57736989,  3.53795807,  5.30449351, ...,  3.3301618 ,\n",
       "         -2.03071509,  6.04538653]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>mu</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>3.903 3.915 -1.751 ... 0.7908 2.869</div><input id='attrs-07283922-cb7c-4f0a-94eb-f4e84c8594f5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-07283922-cb7c-4f0a-94eb-f4e84c8594f5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-cc57fd4e-e4f4-443e-8723-700b66b09168' class='xr-var-data-in' type='checkbox'><label for='data-cc57fd4e-e4f4-443e-8723-700b66b09168' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[ 3.90253102e+00,  3.91500660e+00, -1.75114302e+00,\n",
       "         2.59485538e+00, -4.44296321e-01,  7.61000307e+00,\n",
       "        -1.04548271e+01, -6.00723208e+00, -2.99616365e+00,\n",
       "         4.75484334e+00, -7.53597289e-01, -4.49206911e+00,\n",
       "         1.22966674e+00, -1.17350445e+00, -1.14598007e+00,\n",
       "        -1.10634181e+01,  6.31763132e+00,  1.73772124e+00,\n",
       "        -4.91208423e-01, -2.75385285e+00, -3.41248265e+00,\n",
       "         1.42264349e+00,  4.11819735e-01,  1.73585996e-01,\n",
       "        -5.07312782e+00, -9.99257696e+00, -6.56537987e+00,\n",
       "        -6.24410186e+00,  1.30989418e+00,  1.92730225e+00,\n",
       "         9.19697020e+00,  8.53506427e+00,  3.39755738e+00,\n",
       "        -4.93707846e+00, -7.33345648e+00,  2.98252256e+00,\n",
       "        -3.18159106e-01,  2.27959142e+00, -4.62958545e+00,\n",
       "        -9.70160468e-02, -1.60798088e+00, -6.00729427e+00,\n",
       "         8.37985516e+00,  9.52705402e-01,  1.47243794e+00,\n",
       "        -4.65377145e+00,  7.28348474e-01, -3.06384730e+00,\n",
       "        -6.15183994e+00, -1.41063529e+00,  5.31880456e+00,\n",
       "         4.28382637e-01, -8.23432363e+00,  1.22762109e+00,\n",
       "        -8.29777595e-01,  4.21780345e+00,  5.62271511e-01,\n",
       "        -1.17786709e+00,  8.09037873e+00, -6.71477871e-01,\n",
       "...\n",
       "         4.19794394e+00,  3.37369715e+00,  4.68554077e+00,\n",
       "         2.98601993e+00, -9.56558363e+00, -4.80824536e-01,\n",
       "         2.32683687e+00,  1.84240293e+00,  4.31505480e+00,\n",
       "         1.78131745e+00,  4.74830962e+00, -2.51044292e-01,\n",
       "        -6.19005739e+00, -6.80007397e+00,  5.41635224e-01,\n",
       "         2.53050533e+00, -1.22188016e+00,  5.05691442e+00,\n",
       "         2.03910664e+00, -5.22800335e-02, -1.12511498e+00,\n",
       "         6.59945576e+00, -3.58516561e+00,  7.22804145e+00,\n",
       "         4.59556418e+00, -4.82300404e+00,  4.70726322e+00,\n",
       "        -3.32578499e+00,  3.15320672e+00,  1.14604995e+01,\n",
       "        -4.35587322e+00,  7.06014478e+00,  2.34213481e+00,\n",
       "        -1.31820085e+00,  3.72632528e+00, -9.31774491e-01,\n",
       "        -5.03118301e+00,  2.59806644e+00, -2.02997029e+00,\n",
       "        -7.30940496e+00, -2.53759146e+00, -3.66411956e+00,\n",
       "         9.38270535e+00,  3.79591101e+00, -5.59892859e-01,\n",
       "         1.18231368e+01,  1.26943270e+01,  5.77152605e+00,\n",
       "        -7.33882918e+00,  2.08163637e+00, -4.50230861e+00,\n",
       "        -1.39653308e-01, -1.04822114e-01,  2.08910055e+00,\n",
       "        -6.44041200e+00, -6.60626614e-01, -2.29356629e+00,\n",
       "         7.90828077e-01,  2.86879752e+00]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-06bcf8fb-f96f-4868-8747-c5373c56401f' class='xr-section-summary-in' type='checkbox'  checked><label for='section-06bcf8fb-f96f-4868-8747-c5373c56401f' class='xr-section-summary' >Attributes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:26.602116</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_prior_predictive7ffcfb0b-2ac8-46c0-a7f0-479474ca4e72\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
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       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
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       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
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       "\n",
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       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
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       "\n",
       ".xr-obj-type,\n",
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       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
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       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 1, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs      (chain, draw, school) float64 12.39 -10.1 -12.09 ... 3.084 6.079\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:26.604969\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-12e004a2-7240-43b0-b1d7-7336ce9f155c' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-12e004a2-7240-43b0-b1d7-7336ce9f155c' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 1</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-0a2629ab-130c-4b90-ad63-dc7723302184' class='xr-section-summary-in' type='checkbox'  checked><label for='section-0a2629ab-130c-4b90-ad63-dc7723302184' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0</div><input id='attrs-fc7bce7d-dcff-49c4-af98-812943accfa2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fc7bce7d-dcff-49c4-af98-812943accfa2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bd784fd8-efa9-4822-b73e-24dccde6a919' class='xr-var-data-in' type='checkbox'><label for='data-bd784fd8-efa9-4822-b73e-24dccde6a919' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-08641651-eae9-4be5-aafe-3857ef0e5449' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-08641651-eae9-4be5-aafe-3857ef0e5449' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-35b736cb-05c8-4d21-a7e1-a76ff49cd00b' class='xr-var-data-in' type='checkbox'><label for='data-35b736cb-05c8-4d21-a7e1-a76ff49cd00b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([  0,   1,   2, ..., 497, 498, 499])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-e8233a37-62b8-4784-b018-b8cde7120f0b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e8233a37-62b8-4784-b018-b8cde7120f0b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d12d9e4a-cb5d-465b-a7f5-3bc8e12fa536' class='xr-var-data-in' type='checkbox'><label for='data-d12d9e4a-cb5d-465b-a7f5-3bc8e12fa536' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d712ad34-44aa-46db-91a3-0acaeb13265b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d712ad34-44aa-46db-91a3-0acaeb13265b' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>obs</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>12.39 -10.1 -12.09 ... 3.084 6.079</div><input id='attrs-cacaad66-6419-466e-b913-4b9690336ae1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cacaad66-6419-466e-b913-4b9690336ae1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6503b32e-2311-4ad1-89ae-e5b588fe33a6' class='xr-var-data-in' type='checkbox'><label for='data-6503b32e-2311-4ad1-89ae-e5b588fe33a6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[[ 1.23918881e+01, -1.01045970e+01, -1.20862405e+01, ...,\n",
       "         -3.59868630e+00, -8.77778065e+00, -9.69328919e+00],\n",
       "        [ 2.09597579e+01,  8.86089743e+00,  9.90521098e+00, ...,\n",
       "          1.54078820e+01,  4.05243098e-02, -1.89069145e+01],\n",
       "        [ 2.67252321e+01,  1.57146781e+00, -4.22621830e+01, ...,\n",
       "         -1.25908456e+01,  2.10367202e+00,  2.38684694e+01],\n",
       "        ...,\n",
       "        [ 2.95485869e+00, -8.04444981e+00, -4.82070198e+00, ...,\n",
       "         -3.20835272e+00, -3.31142023e+00,  2.43673137e+01],\n",
       "        [-1.16368983e+01,  1.21084264e+01, -1.52503768e+01, ...,\n",
       "         -1.01627914e+00,  4.22984456e+00, -1.42197117e+01],\n",
       "        [ 2.12186621e+00, -2.57714026e+00, -7.91611376e+00, ...,\n",
       "          4.64922473e+00,  3.08420177e+00,  6.07943333e+00]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d984120b-0088-4b23-9609-351cbdd5e67a' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d984120b-0088-4b23-9609-351cbdd5e67a' class='xr-section-summary' >Attributes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:26.604969</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd></dl></div></li></ul></div></div><br></div>\n",
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       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
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       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (school: 8)\n",
       "Coordinates:\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs      (school) float64 28.0 8.0 -3.0 7.0 -1.0 1.0 18.0 12.0\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:26.606375\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-5ee7d873-d55e-4057-8bce-955c2a1bbacb' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-5ee7d873-d55e-4057-8bce-955c2a1bbacb' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-1939a743-ad21-4a35-86c7-a3a2574ef69e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-1939a743-ad21-4a35-86c7-a3a2574ef69e' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-ad7419fd-702a-4966-a03c-a43c5263b64f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ad7419fd-702a-4966-a03c-a43c5263b64f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-070c0426-7f26-4252-a3a8-34e76e3b6231' class='xr-var-data-in' type='checkbox'><label for='data-070c0426-7f26-4252-a3a8-34e76e3b6231' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-4d1c5dfd-80e7-4e0d-bcdc-a0b12ba0c6a3' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4d1c5dfd-80e7-4e0d-bcdc-a0b12ba0c6a3' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>obs</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>28.0 8.0 -3.0 7.0 ... 1.0 18.0 12.0</div><input id='attrs-3e45471c-39df-47fd-8843-ce967c007baa' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3e45471c-39df-47fd-8843-ce967c007baa' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-cdb4dc4c-8ecb-4466-8179-52a1b88bf6da' class='xr-var-data-in' type='checkbox'><label for='data-cdb4dc4c-8ecb-4466-8179-52a1b88bf6da' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([28.,  8., -3.,  7., -1.,  1., 18., 12.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-210fcf27-a7b6-415a-b1dc-70c0afac2898' class='xr-section-summary-in' type='checkbox'  checked><label for='section-210fcf27-a7b6-415a-b1dc-70c0afac2898' class='xr-section-summary' >Attributes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:26.606375</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_constant_dataf244d515-300e-442b-84b9-21db71e43b69\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_constant_dataf244d515-300e-442b-84b9-21db71e43b69\" class = \"xr-section-summary\">constant_data</label>\n",
       "                  <div class=\"xr-section-inline-details\"></div>\n",
       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
       "                          <div style=\"padding-left:2rem;\"><div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body[data-theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
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       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (school: 8)\n",
       "Coordinates:\n",
       "  * school   (school) &lt;U16 &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    scores   (school) float64 28.0 8.0 -3.0 7.0 -1.0 1.0 18.0 12.0\n",
       "Attributes:\n",
       "    created_at:                 2022-10-13T14:37:26.607471\n",
       "    arviz_version:              0.13.0.dev0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  4.2.2</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-05a44a0d-7972-47e0-88c4-67daa59e21b8' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-05a44a0d-7972-47e0-88c4-67daa59e21b8' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-3b7915a4-22a2-409c-83b9-27c4faeaf4f6' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3b7915a4-22a2-409c-83b9-27c4faeaf4f6' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>&lt;U16</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-139d0f15-a55d-43ba-b2cb-669939992c95' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-139d0f15-a55d-43ba-b2cb-669939992c95' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ef332e2d-c5c8-4f32-9429-df535a4f630d' class='xr-var-data-in' type='checkbox'><label for='data-ef332e2d-c5c8-4f32-9429-df535a4f630d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=&#x27;&lt;U16&#x27;)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-6d69c74f-6f9a-4924-ae2f-81a5f25af2ca' class='xr-section-summary-in' type='checkbox'  checked><label for='section-6d69c74f-6f9a-4924-ae2f-81a5f25af2ca' class='xr-section-summary' >Data variables: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>scores</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>28.0 8.0 -3.0 7.0 ... 1.0 18.0 12.0</div><input id='attrs-a508ee10-2605-43cd-b968-2a2e505adfa3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a508ee10-2605-43cd-b968-2a2e505adfa3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-370001b1-70e0-4f0a-889e-4ceb4baf7ab7' class='xr-var-data-in' type='checkbox'><label for='data-370001b1-70e0-4f0a-889e-4ceb4baf7ab7' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([28.,  8., -3.,  7., -1.,  1., 18., 12.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-168b4e9d-abab-42f3-b106-883ff48bd381' class='xr-section-summary-in' type='checkbox'  checked><label for='section-168b4e9d-abab-42f3-b106-883ff48bd381' class='xr-section-summary' >Attributes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2022-10-13T14:37:26.607471</dd><dt><span>arviz_version :</span></dt><dd>0.13.0.dev0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>4.2.2</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "              </ul>\n",
       "            </div>\n",
       "            <style> /* CSS stylesheet for displaying InferenceData objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
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       "\n",
       ".xr-section-summary {\n",
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       "\n",
       ".xr-section-summary > span {\n",
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       "\n",
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       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
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       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
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       "\n",
       ".xr-section-inline-details {\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "  grid-column: 2;\n",
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       "\n",
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       "  display: none;\n",
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       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       ".xr-wrap{width:700px!important;} </style>"
      ],
      "text/plain": [
       "Inference data with groups:\n",
       "\t> posterior\n",
       "\t> posterior_predictive\n",
       "\t> log_likelihood\n",
       "\t> sample_stats\n",
       "\t> prior\n",
       "\t> prior_predictive\n",
       "\t> observed_data\n",
       "\t> constant_data"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with pm.Model(coords={\n",
    "    \"school\": schools,\n",
    "}) as centered_eight:\n",
    "    mu = pm.Normal(\"mu\", mu=0, sigma=5)\n",
    "    tau = pm.HalfCauchy(\"tau\", beta=5)\n",
    "    theta = pm.Normal(\"theta\", mu=mu, sigma=tau, shape=J, dims=\"school\")\n",
    "    y_obs = pm.ConstantData(\"scores\", scores, dims=\"school\")\n",
    "    obs = pm.Normal(\"obs\", mu=theta, sigma=sigma, observed=y_obs, dims=\"school\")\n",
    "\n",
    "    idata = pm.sample_prior_predictive()\n",
    "    idata.extend(pm.sample(draws, chains=chains))\n",
    "    idata.extend(pm.sample_posterior_predictive(idata))\n",
    "idata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PosixPath('../../data/centered_eight.nc')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Storing the model to .nc format\n",
    "idata.to_netcdf(pathlib.Path(\"..\", \"..\", \"data\", \"centered_eight.nc\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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